Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.

One of our great contemporary scientists reveals the 10 profound insights that illuminate what everyone should know about the physical world.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

In 1913, an unschooled young Indian clerk wrote a letter to G. H. Hardy, begging that preeminent English mathematician's opinion on several ideas he had about numbers. Hardy, realizing the letter was the work of a genius, arranged for Srinivasa Ramanujan to come to England. Thus began one of the most remarkable collaborations ever chronicled.

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.

Space and time form the very fabric of the cosmos. Yet they remain among the most mysterious of concepts. Is space an entity? Why does time have a direction? Could the universe exist without space and time? Can we travel to the past?

Challenging leading scientific theories that claim that our senses report back objective reality, cognitive scientist Donald Hoffman argues that while we should take our perceptions seriously, we should not take them literally. How can it be possible that the world we see is not objective reality? And how can our senses be useful if they are not communicating the truth? Hoffman grapples with these questions and more over the course of this eye-opening work.

One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics.

On July 4, 2012, the announcement came that one of the longest-running mysteries in physics had been solved: the Higgs boson, the missing piece in understanding why particles have mass, had finally been discovered. On the rostrum, surrounded by jostling physicists and media, was the particle’s retiring namesake—the only person in history to have an existing single particle named for them. Why Peter Higgs? Drawing on years of conversations with Higgs and others, Close illuminates how an unprolific man became one of the world’s most famous scientists.

Two of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by 40 years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time.

For decades, biology has been dominated by the study of genetic information. Information is important, but it is only part of what makes us alive. Our inheritance also includes our living metabolic network, a flame passed from generation to generation, right back to the origin of life. In Transformer, biochemist Nick Lane reveals a scientific renaissance that is hiding in plain sight-how the same simple chemistry gives rise to life and causes our demise.

In 1942, a team at the University of Chicago achieved what no one had before: a nuclear chain reaction. At the forefront of this breakthrough stood Enrico Fermi. Straddling the ages of classical physics and quantum mechanics, equally at ease with theory and experiment, Fermi truly was the last man who knew everything - at least about physics. But he was also a complex figure who was a part of both the Italian Fascist Party and the Manhattan Project, and a less-than-ideal father and husband who nevertheless remained one of history's greatest mentors.

In Parallel Worlds, world-renowned physicist and best-selling author Michio Kaku - an author who "has a knack for bringing the most ethereal ideas down to earth" (Wall Street Journal) - takes listeners on a fascinating tour of cosmology, M-theory, and its implications for the fate of the universe.

In 1963, a female student was attending a lecture given by Nobel Prize winner James Watson, then tenured at Harvard. At nineteen, she was struggling to define her future. She had given herself just ten years to fulfill her professional ambitions before starting the family she was expected to have. For women at that time, a future on the usual path of academic science was unimaginable—but during that lecture, young Nancy Hopkins fell in love with the promise of genetics. Confidently believing science to be a pure meritocracy, she embarked on a career.

Derek Parfit (1942–2017) is the most famous philosopher most people have never heard of. Widely regarded as one of the greatest moral thinkers of the past hundred years, Parfit was anything but a public intellectual. Yet his ideas have shaped the way philosophers think about things that affect us all: equality, altruism, what we owe to future generations, and even what it means to be a person. In Parfit, David Edmonds presents the first biography of an intriguing, obsessive, and eccentric genius.

Paul Dirac was among the great scientific geniuses of the modern age. One of the discoverers of quantum mechanics, the most revolutionary theory of the past century, his contributions had a unique insight, eloquence, clarity, and mathematical power. His prediction of antimatter was one of the greatest triumphs in the history of physics.

Few scientists have enthralled more people than Richard P. Feynman, the Nobel Prize winner and best-selling author of Six Easy Pieces and Surely You're Joking, Mr. Feynman! Beloved for his engaging character and zest for life, he is an American icon. In this selection of letters, Feynman's towering genius and singular personality shine like dazzling stars.

In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.

In How the Laser Happened, Nobel laureate Charles Townes provides a highly personal look at some of the leading events in 20th-century physics. This lively memoir, packed with firsthand accounts and historical anecdotes, is an invaluable resource for anyone interested in the history of science and an inspiring example for students considering scientific careers.

When he died in 1930 aged 26, Frank Ramsey had already invented one branch of mathematics and two branches of economics, laying the foundations for decision theory and game theory. Keynes deferred to him; he was the only philosopher whom Wittgenstein treated as an equal. Had he lived he might have been recognized as the most brilliant thinker of the century. This amiable shambling bear of a man was an ardent socialist, a believer in free love, and an intimate of the Bloomsbury set. For the first time Cheryl Misak tells the full story of his extraordinary life.

Lee Hood did that rarest of things. He enabled scientists to see things they couldn't see before and do things they hadn't dreamed of doing. Scientists can now sequence complete human genomes in a day, setting in motion a revolution that is personalizing medicine. Hood, a son of the American West, was an unlikely candidate to transform biology. But with ferocious drive, he led a team at Caltech that developed the automated DNA sequencer, the tool that paved the way for the Human Genome Project.

Few recognize how the Great War, the industrialized slaughter that bled Europe from 1914 to 1918, shaped Einstein’s life and work. While Einstein never held a rifle, he formulated general relativity blockaded in Berlin, literally starving. He lost 50 pounds in three months, unable to communicate with his most important colleagues. Some of those colleagues fought against rabid nationalism; others were busy inventing chemical warfare - scientists trapped in the power plays of empire. Meanwhile, Einstein struggled to craft relativity and persuade the world that it was correct.

Robert Oppenheimer was among the most brilliant and divisive of men. As head of the Los Alamos Laboratory, he oversaw the successful effort to beat the Nazis in the race to develop the first atomic bomb – a breakthrough that was to have eternal ramifications for mankind and that made Oppenheimer the “Father of the Atomic Bomb.” But with his actions leading up to that great achievement, he also set himself on a dangerous collision course with Senator Joseph McCarthy and his witch-hunters. In Robert Oppenheimer: A Life Inside the Center, Ray Monk, author of peerless biographies of Ludwig Wittgenstein and Bertrand Russell, goes deeper than any previous biographer in the quest to solve the enigma of Oppenheimer’s motivations and his complex personality.

Stephen Hawking is one of the most remarkable figures of our time, a Cambridge genius who has earned international celebrity as a brilliant theoretical physicist and become an inspiration and revelation to those who have witnessed his courageous triumph over disability. This is Hawking's life story by Kitty Ferguson, who has had special help from Hawking himself and his close associates and who has a gift for translating the language of theoretical physics for non-scientists.

A century ago, everyone knew that people were fated by their race, sex, and nationality to be more or less intelligent, nurturing, or warlike. But Columbia University professor Franz Boas looked at the data and decided everyone was wrong. Racial categories, he insisted, were biological fictions. Cultures did not come in neat packages labeled "primitive" or "advanced". What counted as a family, a good meal, or even common sense was a product of history and circumstance, not of nature.

What is genius? The word evokes iconic figures like Einstein, Beethoven, Picasso, and Steve Jobs, whose cultural contributions have irreversibly shaped society. Yet Beethoven could not multiply. Picasso couldn’t pass a fourth grade math test. And Jobs left high school with a 2.65 GPA. The Hidden Habits of Genius explores the meaning of this contested term, and the unexpected motivations of those we have dubbed "genius" throughout history, from Charles Darwin and Marie Curie to Leonardo Da Vinci and Andy Warhol to Toni Morrison and Elon Musk.

In The Idea Factory, New York Times Magazine writer Jon Gertner reveals how Bell Labs served as an incubator for scientific innovation from the 1920s through the1980s. In its heyday, Bell Labs boasted nearly 15,000 employees, 1200 of whom held PhDs and 13 of whom won Nobel Prizes. Thriving in a work environment that embraced new ideas, Bell Labs scientists introduced concepts that still propel many of today’s most exciting technologies.

The Element shows the vital need to enhance creativity and innovation by thinking differently about human resources and imagination. It is an essential strategy for transforming education, business, and communities to meet the challenges of living and succeeding in the 21st century.

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics.

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.